(Solved): A grasshopper makes four jumps. The displacement vectors are (1) 34cm, due (2) 35cm,26 south ...

A grasshopper makes four jumps. The displacement vectors are (1) $34\mathrm{cm}$, due (2) $35\mathrm{cm},26^{?}$ south of west; (3) $24\mathrm{cm},58^{?}$ south of east; and (4) $16\mathrm{cm},61^{?}\mathrm{nc}$ east. Find (a) the magnitude and (b) the direction of the resultant displacement. Express the direction as a positive angle with respect to due west. $39\mathrm{cm},27.8^{?}$ $50\mathrm{cm},15.8^{?}$ $25\mathrm{cm},25.8^{?}$ $50\mathrm{cm},25.8^{?}$ You spot a plane that is $3\mathrm{km}$ north, $5\mathrm{km}$ east, and at an altitude $4.0\mathrm{km}$ above your position. (a) How far from you is the plane? (b) At what angle from due north (in the horizontal plane) are you looking? (c) At what elevation angle (above the horizontal plane of Earth) is the airplane? Answers for part (a), (b) and (c) are: $7.1\mathrm{km},59^{?}$ east of north, $34^{?}$ above the horizontal $5.7\mathrm{km},59^{?}$ east of north, $59^{?}$ above the horizontal $7.1\mathrm{km},59^{?}$ east of north, $59^{?}$ above the horizontal $7.1\mathrm{km},34^{?}$ east of north, $59^{?}$ above the horizontal